Finding the Fourth Proportional to 2,685.16, 3,705.50 and 1,506.26

Step by Step Solution

1. Step 1: Write the proportion equation
   2,685.16 : 3,705.50 = 1,506.26 : x
2. Step 2: Convert to fraction form
   2,685.16/3,705.50 = 1,506.26/x
3. Step 3: Cross multiply
   2,685.16x = 3,705.50 × 1,506.26
4. Step 4: Simplify right side
   2,685.16x = 5,581,446.43
5. Step 5: Solve for x
   x = 5,581,446.43/2,685.16
6. Step 6: Final answer
   x = 2,078.63